Find the area of a rectangle with a length of (5x+2) and width of (2x-1)
1 answer:
You might be interested in
Answer:
a. 0.0000
b. 0.9949
c. 0.0212
d. 1.0000
Step-by-step explanation:
a. This is a binomial probability distribution problem of the form:
#Given n=15, p=0.56, the probability of none will order a non-alcoholic drink:
Hence, the probability that none will order a non-alcoholic drink is 0.0000
b. The probability that at least 4 will order a non-alcoholic drink is:
Hence, the probability of at least 4 non-alcoholic orders is 0.9949
c. The Probability that fewer than 5 orders will be made is calculated as:
Hence, the probability of less than 5 orders is 0.0212
d. The probability of all orders being non-alcoholic is equivalent to 1 minus no order being non-alcoholic.
-From a above, the probability of zero non-alcoholic order is , P(X=0)=0000045
-Therefore:
Hence, the probability that all orders are non-alcoholic 1.0000
Answer:
Option (a)
Step-by-step explanation:
This question is incomplete without statements; find the statements as followed,
a). Ricky's claim is incorrect since not all rotations that carry a square onto itself are multiples of 30 degrees.
b). Ricky's claim is incorrect since not all rotations that are multiples of 30 degrees carry a square onto itself.
c). Ricky's claim is correct since any rotation that carries a square onto itself is a multiple of 30 degrees.
d). Ricky's claim is correct since any rotation that is a multiple of 30 degrees carries a square onto itself.
Square ABCD will map onto itself when point A comes to B, C or D by a rotation about the center E with a multiple of measure of angle AEB.
m∠AEB = 90° [Diagonals of a square intersect each other at 90°]
In simpler words, if square ABCD is rotated 90° or it's multiple about the center E, square will overlap itself.
Therefore, Option (a) is correct.
